{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PLS for prediction of pectin yield from FTIR spectroscopic measurement of crude extracts\n",
    "This Jupyter notebook illustrates the use of PLS to establish prediction models for the pectin yield from Fourier Transform Infrared (FTIR) spectra measured on crude extracts at different time points and conditions. The data was obtained from [1]  and has been acquired using a FTIR instrument (FOSS FT2), which is capable of measuring light absorption in the mid infrared spectral region. Depending on the extraction condition and extraction time point the obtained spectra resemble fingerprints of the extract and its overall chemical complexity. Typically, such spectroscopic data contains measurements at many wavenumbers (= features $p$). PLS is often used for these types of data because it can handle high dimensional datasets with highly correlated features (as it is the case in this example).\n",
    "\n",
    "We aim to establish a PLS prediction model such that:\n",
    "\n",
    "$\\textbf{Y}=\\textbf{X}\\boldsymbol{\\beta}+\\textbf{E}$\n",
    "\n",
    "The data matrix $\\textbf{X}$ indicates the shape $n  \\times  p$, where $n$ resembles the number of samples and $p$ the number of features. Once we have found the regression vector $\\boldsymbol{\\beta}$ we can apply it to newly measured samples of similar type to predict the respective pectin yield of these samples. The variation in $\\textbf{Y}$ which is not explained by the model resembles the residuals $\\textbf{E}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import dependencies and load data\n",
    "Three datasets are imported for this example. Extraction 1 and 2 were carried out enzymatically, while extraction 3 was carried out using an acid extraction procedure. The three datasets are merged to be analyzed collectively (named *ftir*). The data in *yield_all* contains the final pectin yields ($\\textbf{y}$). If you encounter errors in this section you might need to install/upgrade some of the Python packages stated below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from mbpls.data.get_data import load_FTIR_Data\n",
    "from scipy.io import loadmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Following dataset were loaded as Pandas Dataframes: \n",
      " dict_keys(['ftir3', 'ftir1', 'ftir2'])\n"
     ]
    }
   ],
   "source": [
    "data = load_FTIR_Data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "ftir1 = data['ftir1']\n",
    "ftir2 = data['ftir2']\n",
    "ftir3 = data['ftir3']\n",
    "ftir = pd.concat((ftir1, ftir2, ftir3))\n",
    "yield_all = np.array(ftir.index)\n",
    "wavenumbers = ftir1.columns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Look at the data\n",
    "First we want to look at our data. We have created a function which helps us to do so. Each of the three data sets contains several time points at which the measurement was repeated during the extraction. The spectra are colored in greyscale, resembling the final pectin yield (dark - lowest, white - highest).\n",
    "\n",
    "One can observe that extractions 1 and 2 appear to have similar shape, while extraction 3 indicates a very different characteristics. Remember that extraction 3 was carried out using acid. All extractions show changes in the spectra which seem to be related to final pectin yield. These spectral changes are especially abundant in the wavenumber range between 1000 and 1150 $cm^{-1}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_spectra(spectra, ax, name):\n",
    "    pectin_yield = np.array(spectra.index)\n",
    "    color_code = (pectin_yield - pectin_yield.min())\n",
    "    color_code = color_code / color_code.max()\n",
    "    color_code = color_code[:]\n",
    "    for spectrum, color in zip(np.array(spectra), color_code):\n",
    "        ax.plot(wavenumbers, spectrum, color=(color, color, color), linewidth=2)\n",
    "        ax.set_title(name, fontsize=18)\n",
    "        ax.set_xlabel('wavenumber $cm^{-1}$', fontsize=16)\n",
    "        ax.set_ylabel('Abs', fontsize=16)\n",
    "        plt.tight_layout()\n",
    "\n",
    "fig, ax = plt.subplots(ncols=2, nrows=2, figsize=(10,8))\n",
    "plot_spectra(ftir1, ax[0][0], 'Extraction1')\n",
    "plot_spectra(ftir2, ax[0][1], 'Extraction2')\n",
    "plot_spectra(ftir3, ax[1][0], 'Extraction3')\n",
    "ax[1][1].axis('off');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we look at all spectra plotted together we obtain the following situation. It is difficult to identify which spectral wavenumbers are related to higher pectin yields. This is due to the fact, that both extraction patterns, enzymatic and acidic, appear superimposed. In the following, we will use PLS regression to establish prediction models using this combined data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "yield_all = np.array(ftir.index)\n",
    "fig, ax = plt.subplots(figsize=(10,8))\n",
    "plot_spectra(ftir, ax, 'all extractions')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Find number of latent variables using Leave-One-Out Cross Validation\n",
    "To find the right number of latent variables (LV)  we perform cross validation. Scikit-learn makes it easy for us using the cross_val_predict function. We simply re-model the data using different numbers of latent variables and plot the result of the resulting Mean Square Errors (MSE). We pick the number of latent variables where the MSE is minimal to avoid overfitting and to induce as much complexity into our model as to obtain most accurate results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mbpls.mbpls import MBPLS\n",
    "from sklearn.model_selection import cross_val_predict\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "MSEs = []\n",
    "for lv in range(15):\n",
    "    mbpls = MBPLS(n_components=lv+1)\n",
    "    prediction = cross_val_predict(mbpls, ftir, yield_all, cv=len(ftir))\n",
    "    prediction = pd.DataFrame(prediction)\n",
    "    MSEs.append(mean_squared_error(prediction, yield_all))\n",
    "\n",
    "plt.plot(np.arange(1,16), MSEs)\n",
    "plt.xlabel('number of LVs', fontsize=16)\n",
    "plt.xticks(np.arange(1,16), np.arange(1,16))\n",
    "plt.ylabel('LOO-CV MSE', fontsize=16)\n",
    "plt.title('Find the right number of LVs', fontsize=18);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot resulting calibration and evaluate model\n",
    "Once we have found the right number of latent variables we re-use this number to calculate our final model. Before we do this using all data (no CV) we want to look at the predicted versus known pectin yield plot below. As you can see our model predicts pectin yield quite well with a mean squared error of 0.0002 $g^2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mbpls = MBPLS(n_components=3, method='NIPALS')\n",
    "prediction = cross_val_predict(mbpls, ftir, yield_all, cv=len(ftir))\n",
    "prediction = pd.DataFrame(prediction)\n",
    "yield_all = pd.DataFrame(np.array(yield_all))\n",
    "prediction = pd.concat((prediction, yield_all), axis=1)\n",
    "prediction.columns=['predicted yield [g]', 'known yield [g]']\n",
    "prediction.plot.scatter(x='known yield [g]', y='predicted yield [g]')\n",
    "plt.plot([prediction.min().min(), prediction.max().max()], \n",
    "         [prediction.min().min(), prediction.max().max()], color='red')\n",
    "plt.ylabel(prediction.columns[0], fontsize=16)\n",
    "plt.xlabel(prediction.columns[1], fontsize=16)\n",
    "plt.title('MSE = {:.6f} $g^2$'.format(mean_squared_error(prediction['known yield [g]'], \n",
    "                                    prediction['predicted yield [g]'])),fontsize=18);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculate final model and look at regression vector $\\boldsymbol{\\beta}$\n",
    "Now we have validated our model and we are ready to calculate the final model using all available samples. After doing so we can plot the regression vector $\\boldsymbol{\\beta}$ and use it to pedict the pectin yield of future samples of similar type. To compare $\\boldsymbol{\\beta}$ to the actual spectral patterns in the data, we have plotted it below together with the extraction 1 samples. It is easy to conclude which wavenumbers have positiv impact on pectin yield and vice versa. Of course, one could also compare $\\boldsymbol{\\beta}$ to the spectra of extractions 2 and 3. This can be done by replacing $\\texttt{ftir1}$ with $\\texttt{ftir2}$ or $\\texttt{ftir3}$ in the code below. Note, that the regression vector $\\boldsymbol{\\beta}$ is applied to standardized data (standardization is enabled by default)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "mbpls = MBPLS(n_components=5)\n",
    "mbpls.fit_transform(ftir, yield_all)\n",
    "fig, ax = plt.subplots(nrows=2, figsize=(10,6))\n",
    "sns.barplot(x=ftir.columns, y=mbpls.beta_[:,0], ax=ax[0])\n",
    "ax[0].set_title('regression vector $\\\\beta$', fontsize=18)\n",
    "ax[0].set_xlabel('wavenumber $[cm^{-1}]$', fontsize=16)\n",
    "ax[0].set_ylabel('amplitude', fontsize=16)\n",
    "ax[0].axes.xaxis.set_ticklabels([])\n",
    "plot_spectra(ftir1, ax[1], 'Extraction 1\\n(for reference)')\n",
    "ax[1].set_xlim([wavenumbers.min(), wavenumbers.max()]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[1] Baum, Andreas, et al. \"Prediction of pectin yield and quality by FTIR and carbohydrate microarray analysis.\" Food and Bioprocess Technology 10.1 (2017): 143-154."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
